SOLUTION: Ashton is x years old. Bentley is 2 years older than Ashton. Three times Bentley’s age is equal to 18. The purpose of this exercise is to check your understanding on setting up e

Algebra.Com
Question 1180176: Ashton is x years old. Bentley is 2 years older than Ashton. Three times Bentley’s age is equal to 18. The purpose of this exercise is to check your understanding on setting up equations and showing the steps to solving a simple equation.
⦁ Write an equation that could be used to solve for Ashton’s age, x.
⦁ Use your equation to solve and find out how old Ashton is. Show your work.
⦁ Set up an equation and show your work to find out how old Bentley is.

Found 3 solutions by mananth, ikleyn, josgarithmetic:
Answer by mananth(16946)   (Show Source): You can put this solution on YOUR website!
Ashton is x years old.
Bentley is 2 years older than Ashton.
Bentley's age = (x+2) years
Three times Bentley’s age is equal to 18.
3*(x+2) =18
3x+6 =18
3x+6-6= 18-6
3x = 12
3x/3 = 12/3
x=4
Ashton's age is 4 years
Bentley's age = x+2
= 4+2 = 6 years

Answer by ikleyn(52781)   (Show Source): You can put this solution on YOUR website!
.

There is a bunch of lessons on age word problems
    - Age problems and their solutions
    - HOW TO algebreze and to solve age problems?
    - A fresh formulation of a traditional age problem
    - Really intricate age word problems
    - Selected age word problems from the archive
    - Age problems for mental solution
    - Age problem for three participants
    - Miscellaneous age problems
in this site.

Read them and become an expert in solving age problems.

Also,  you have this free of charge online textbook in ALGEBRA-I in this site
    - ALGEBRA-I - YOUR ONLINE TEXTBOOK.

The referred lessons are the part of this online textbook under the topic "Age word problems".


Save the link to this online textbook together with its description

Free of charge online textbook in ALGEBRA-I
https://www.algebra.com/algebra/homework/quadratic/lessons/ALGEBRA-I-YOUR-ONLINE-TEXTBOOK.lesson

to your archive and use it when it is needed.



Answer by josgarithmetic(39617)   (Show Source): You can put this solution on YOUR website!
Ashton, x
Bentley , x+2

.
.


---------------------------------------------
Set up an equation and show your work to find out how old Bentley is.
---------------------------------------------

One could just use the description for x and the expression x+2 to evaluate Bentley's age. Another way is like this:
b, Bentley
b-2, Ashton
and then follow the description to form the necessary equation.

RELATED QUESTIONS

Corey is 87 years younger than Ashton. 7 years ago, Ashton's age was 4 times Corey's age. (answered by josgarithmetic)
The sum of the ages of Gabriel and Ashton is 103 years. 9 years ago, Gabriel's age was 4... (answered by josgarithmetic)
Devonte is 84 years younger than Ashton. 4 years ago, Ashton's age was 4 times Devonte's... (answered by MathLover1)
Eva is 10 years older than Feni. In 8 years, twice Eva's age will equal to three times... (answered by Maths68)
A father's age is x years and his daughter is four years old. The father is four times... (answered by stanbon)
Kim is x years old. Jordan is 7 years older than Kim. Four times Jordans age is equal to (answered by ikleyn)
Alexis is x years old. Allie is 8 years older than Alexis. Five times Allie's age is... (answered by ikleyn)
Mike is four years older than his brother,Andrew. If five times Andrews age is equal to... (answered by addingup)
Cynthia is three years older than Dina. The sum of their ages will equal 3 times Femi's... (answered by richwmiller)